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If a = sin. (pi)/(18) sin. (5 pi)/(18) s...

If `a = sin. (pi)/(18) sin. (5 pi)/(18) sin.(7pi)/(18)`, and x is the solution the equation `y=2[x]+2` and `y=3[x-2]`, where `[x]` denotes the integral part of x, then a is equal to

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